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Kwik Bolt TZ Expansion Anchor - City of Los Angeles Approval€¦ · and 2006 IBC. The anchors may also be used where an engineered design is submitted in accordance with Section

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Page 1: Kwik Bolt TZ Expansion Anchor - City of Los Angeles Approval€¦ · and 2006 IBC. The anchors may also be used where an engineered design is submitted in accordance with Section
Page 2: Kwik Bolt TZ Expansion Anchor - City of Los Angeles Approval€¦ · and 2006 IBC. The anchors may also be used where an engineered design is submitted in accordance with Section
Page 3: Kwik Bolt TZ Expansion Anchor - City of Los Angeles Approval€¦ · and 2006 IBC. The anchors may also be used where an engineered design is submitted in accordance with Section
Page 4: Kwik Bolt TZ Expansion Anchor - City of Los Angeles Approval€¦ · and 2006 IBC. The anchors may also be used where an engineered design is submitted in accordance with Section

ICC-ES Evaluation Reports are not to be construed as representing aesthetics or any other attributes not specifically addressed, nor are they to be construed as an endorsement of the subject of the report or a recommendation for its use. There is no warranty by ICC Evaluation Service, LLC, express or implied, as to any finding or other matter in this report, or as to any product covered by the report.

Copyright © 2015 Page 1 of 13

1000

ICC-ES Evaluation Report ESR-1917 Reissued May 2015 This report is subject to renewal May 2017.

www.icc-es.org | (800) 423-6587 | (562) 699-0543 A Subsidiary of the International Code Council ®

DIVISION: 03 00 00—CONCRETE Section: 03 16 00—Concrete Anchors DIVISION: 05 00 00—METALS Section: 05 05 19—Post-Installed Concrete Anchors REPORT HOLDER: HILTI, INC. 5400 SOUTH 122ND EAST AVENUE TULSA, OKLAHOMA 74146 (800) 879-8000 www.us.hilti.com [email protected] EVALUATION SUBJECT: HILTI KWIK BOLT TZ CARBON AND STAINLESS STEEL ANCHORS IN CRACKED AND UNCRACKED CONCRETE 1.0 EVALUATION SCOPE

Compliance with the following codes:

2012, 2009 and 2006 International Building Code® (IBC)

2012, 2009 and 2006 International Residential Code® (IRC)

2013 Abu Dhabi International Building Code (ADIBC)† †The ADIBC is based on the 2009 IBC. 2009 IBC code sections referenced in this report are the same sections in the ADIBC.

Property evaluated:

Structural

2.0 USES

The Hilti Kwik Bolt TZ anchor (KB-TZ) is used to resist static, wind, and seismic tension and shear loads in cracked and uncracked normal-weight concrete and sand-lightweight concrete having a specified compressive strength, f′c, of 2,500 psi to 8,500 psi (17.2 MPa to 58.6 MPa) [minimum of 24 MPa is required under ADIBC Appendix L, Section 5.1.1].

The 3/8-inch- and 1/2-inch-diameter (9.5 mm and 12.7 mm) carbon steel KB-TZ anchors may be installed in the topside of cracked and uncracked normal-weight or sand-lightweight concrete-filled steel deck having a minimum member thickness, hmin,deck, as noted in Table 6 of this report and a specified compressive strength, f′c, of 3,000 psi to 8,500 psi (20.7 MPa to 58.6 MPa) [minimum of 24 MPa is required under ADIBC Appendix L, Section 5.1.1].

The 3/8-inch-, 1/2-inch-, 5/8-inch- and ¾-inch diameter (9.5 mm, 12.7 mm and 15.9 mm) carbon steel KB-TZ anchors may be installed in the soffit of cracked and uncracked normal-weight or sand-lightweight concrete over metal deck having a minimum specified compressive strength, f'c, of 3,000 psi (20.7 MPa) [minimum of 24 MPa is required under ADIBC Appendix L, Section 5.1.1].

The anchoring system complies with anchors as described in Section 1909 of the 2012 IBC and Section 1912 of the 2009 and 2006 IBC. The anchoring system is an alternative to cast-in-place anchors described in Section1908 of the 2012 IBC and Section 1911 of the 2009 and 2006 IBC. The anchors may also be used where an engineered design is submitted in accordance with Section R301.1.3 of the IRC.

3.0 DESCRIPTION

3.1 KB-TZ:

KB-TZ anchors are torque-controlled, mechanical expansion anchors. KB-TZ anchors consist of a stud (anchor body), wedge (expansion elements), nut, and washer. The anchor (carbon steel version) is illustrated in Figure 1. The stud is manufactured from carbon steel or AISI Type 304 or Type 316 stainless steel materials. Carbon steel KB-TZ anchors have a minimum 5 μm (0.0002 inch) zinc plating. The expansion elements for the carbon and stainless steel KB-TZ anchors are fabricated from Type 316 stainless steel. The hex nut for carbon steel conforms to ASTM A563-04, Grade A, and the hex nut for stainless steel conforms to ASTM F594.

The anchor body is comprised of a high-strength rod threaded at one end and a tapered mandrel at the other end. The tapered mandrel is enclosed by a three-section expansion element which freely moves around the mandrel. The expansion element movement is restrained by the mandrel taper and by a collar. The anchor is installed in a predrilled hole with a hammer. When torque is applied to the nut of the installed anchor, the mandrel is drawn into the expansion element, which is in turn expanded against the wall of the drilled hole.

3.2 Concrete:

Normal-weight and sand-lightweight concrete must conform to Sections 1903 and 1905 of the IBC.

3.3 Steel Deck Panels:

Steel deck panels must be in accordance with the configuration in Figures 5A, 5B, 5C and 5D and have a minimum base steel thickness of 0.035 inch (0.899 mm). Steel must comply with ASTM A653/A653M SS Grade 33

*Deleted by the City of Los Angeles

*

**

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ESR-1917 | Most Widely Accepted and Trusted Page 2 of 13

and have a minimum yield strength of 33,000 psi (228 MPa).

4.0 DESIGN AND INSTALLATION

4.1 Strength Design:

4.1.1 General: Design strength of anchors complying with the 2012 IBC as well as Section R301.1.3 of the 2012 IRC, must be determined in accordance with ACI 318-11 Appendix D and this report.

Design strength of anchors complying with the 2009 IBC and Section R301.1.3 of the 2009 IRC must be determined in accordance with ACI 318-08 Appendix D and this report.

Design strength of anchors complying with the 2006 IBC and Section R301.1.3 of the 2006 IRC must be in accordance with ACI 318-05 Appendix D and this report.

Design parameters provided in Tables 3, 4, 5 and 6 of this report are based on the 2012 IBC (ACI 318-11) unless noted otherwise in Sections 4.1.1 through 4.1.12.The strength design of anchors must comply with ACI 318 D.4.1, except as required in ACI 318 D.3.3.

Strength reduction factors, , as given in ACI 318-11 D.4.3 and noted in Tables 3 and 4 of this report, must be used for load combinations calculated in accordance with Section 1605.2 of the IBC and Section 9.2 of ACI 318. Strength reduction factors, , as given in ACI 318-11 D.4.4 must be used for load combinations calculated in accordance with ACI 318 Appendix C. An example calculation in accordance with the 2012 IBC is provided in Figure 7. The value of f′c used in the calculations must be limited to a maximum of 8,000 psi (55.2 MPa), in accordance with ACI 318-11 D.3.7.

4.1.2 Requirements for Static Steel Strength in Tension: The nominal static steel strength, Nsa, of a single anchor in tension must be calculated in accordance with ACI 318 D.5.1.2. The resulting Nsa values are provided in Tables 3 and 4 of this report. Strength reduction factors corresponding to ductile steel elements may be used.

4.1.3 Requirements for Static Concrete Breakout Strength in Tension: The nominal concrete breakout strength of a single anchor or group of anchors in tension, Ncb or Ncbg, respectively, must be calculated in accordance with ACI 318 D.5.2, with modifications as described in this section. The basic concrete breakout strength in tension, Nb, must be calculated in accordance with ACI 318 D.5.2.2, using the values of hef and kcr as given in Tables 3, 4 and 6. The nominal concrete breakout strength in tension in regions where analysis indicates no cracking in accordance with ACI 318 D.5.2.6 must be calculated with kuncr as given in Tables 3 and 4 and with Ψc,N = 1.0.

For carbon steel KB-TZ anchors installed in the soffit of sand-lightweight or normal-weight concrete on steel deck floor and roof assemblies, as shown in Figures 5A, 5B and 5C, calculation of the concrete breakout strength is not required.

4.1.4 Requirements for Static Pullout Strength in Tension: The nominal pullout strength of a single anchor in accordance with ACI 318 D.5.3.1 and D.5.3.2 in cracked and uncracked concrete, Np,cr and Np,uncr, respectively, is given in Tables 3 and 4. For all design cases Ψc,P = 1.0. In accordance with ACI 318 D.5.3, the nominal pullout strength in cracked concrete may be calculated in accordance with the following equation:

, , , (lb, psi) (Eq-1)

, , . (N, MPa)

In regions where analysis indicates no cracking in accordance with ACI 318 D.5.3.6, the nominal pullout strength in tension may be calculated in accordance with the following equation:

, , , (lb, psi) (Eq-2)

, , . (N, MPa)

Where values for Np,cr or Np,uncr are not provided in Table 3 or Table 4, the pullout strength in tension need not be evaluated.

The nominal pullout strength in cracked concrete of the carbon steel KB-TZ installed in the soffit of sand-lightweight or normal-weight concrete on steel deck floor and roof assemblies, as shown in Figures 5A and 5B, is given in Table 5. In accordance with ACI 318 D.5.3.2, the nominal pullout strength in cracked concrete must be calculated in accordance with Eq-1, whereby the value of Np,deck,cr must be substituted for Np,cr and the value of 3,000 psi (20.7 MPa) must be substituted for the value of 2,500 psi (17.2 MPa) in the denominator. In regions where analysis indicates no cracking in accordance with ACI 318 5.3.6, the nominal strength in uncracked concrete must be calculated according to Eq-2, whereby the value of Np,deck,uncr must be substituted for Np,uncr and the value of 3,000 psi (20.7 MPa) must be substituted for the value of 2,500 psi (17.2 MPa) in the denominator. The use of stainless steel KB-TZ anchors installed in the soffit of concrete on steel deck assemblies is beyond the scope of this report.

4.1.5 Requirements for Static Steel Strength in Shear: The nominal steel strength in shear, Vsa, of a single anchor in accordance with ACI 318 D.6.1.2 is given in Table 3 and Table 4 of this report and must be used in lieu of the values derived by calculation from ACI 318-11, Eq. D-29. The shear strength Vsa,deck of the carbon-steel KB-TZ as governed by steel failure of the KB-TZ installed in the soffit of sand-lightweight or normal-weight concrete on steel deck floor and roof assemblies, as shown in Figures 5A, 5B and 5C, is given in Table 5.

4.1.6 Requirements for Static Concrete Breakout Strength in Shear: The nominal concrete breakout strength of a single anchor or group of anchors in shear, Vcb or Vcbg, respectively, must be calculated in accordance with ACI 318 D.6.2, with modifications as described in this section. The basic concrete breakout strength, Vb, must be calculated in accordance with ACI 318 D.6.2.2 based on the values provided in Tables 3 and 4. The value of ℓe used in ACI 318 Eq. D-24 must be taken as no greater than the lesser of hef or 8da.

For carbon steel KB-TZ anchors installed in the soffit of sand-lightweight or normal-weight concrete on steel deck floor and roof assemblies, as shown in Figures 5A, 5B and 5C, calculation of the concrete breakout strength in shear is not required.

4.1.7 Requirements for Static Concrete Pryout Strength in Shear: The nominal concrete pryout strength of a single anchor or group of anchors, Vcp or Vcpg, respectively, must be calculated in accordance with ACI 318 D.6.3, modified by using the value of kcp provided in Tables 3 and 4 of this report and the value of Ncb or Ncbg as calculated in Section 4.1.3 of this report.

*Deleted by the City of Los Angeles

*

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For carbon steel KB-TZ anchors installed in the soffit of sand-lightweight or normal-weight concrete over profile steel deck floor and roof assemblies, as shown in Figures 5A, 5B, and 5C, calculation of the concrete pry-out strength in accordance with ACI 318 D.6.3 is not required.

4.1.8 Requirements for Seismic Design:

4.1.8.1 General: For load combinations including seismic, the design must be performed in accordance with ACI 318 D.3.3. For the 2012 IBC, Section 1905.1.9 shall be omitted. Modifications to ACI 318 D.3.3 shall be applied under Section 1908.1.9 of the 2009 IBC, or Section 1908.1.16 of the 2006 IBC. The nominal steel strength and the nominal concrete breakout strength for anchors in tension, and the nominal concrete breakout strength and pryout strength for anchors in shear, must be calculated in accordance with ACI 318 D.5 and D.6, respectively, taking into account the corresponding values given in Tables 3, 4 and 5 of this report. The anchors may be installed in Seismic Design Categories A through F of the IBC. The anchors comply with ACI 318 D.1 as ductile steel elements and must be designed in accordance with ACI 318-11 D.3.3.4, D.3.3.5, D.3.3.6 or D.3.3.7, ACI 318-08 D.3.3.4, D.3.3.5 or D.3.3.6, or ACI 318-05 D.3.3.4 or D.3.3.5, as applicable.

4.1.8.2 Seismic Tension: The nominal steel strength and nominal concrete breakout strength for anchors in tension must be calculated in accordance with ACI 318 D.5.1 and ACI 318 D.5.2, as described in Sections 4.1.2 and 4.1.3 of this report. In accordance with ACI 318 D.5.3.2, the appropriate pullout strength in tension for seismic loads, Np,eq, described in Table 4 or Np,deck,cr described in Table 5 must be used in lieu of Np, as applicable. The value of Np,eq or Np,deck,cr may be adjusted by calculation for concrete strength in accordance with Eq-1 and Section 4.1.4 whereby the value of Np,deck,cr must be substituted for Np,cr and the value of 3,000 psi (20.7 MPa) must be substituted for the value of 2,500 psi (17.2 MPa) in the denominator. If no values for Np,eq are given in Table 3 or Table 4, the static design strength values govern.

4.1.8.3 Seismic Shear: The nominal concrete breakout strength and pryout strength in shear must be calculated in accordance with ACI 318 D.6.2 and D.6.3, as described in Sections 4.1.6 and 4.1.7 of this report. In accordance with ACI 318 D.6.1.2, the appropriate value for nominal steel strength for seismic loads, Vsa,eq described in Table 3 and Table 4 or Vsa,deck described in Table 5 must be used in lieu of Vsa, as applicable.

4.1.9 Requirements for Interaction of Tensile and Shear Forces: For anchors or groups of anchors that are subject to the effects of combined tension and shear forces, the design must be performed in accordance with ACI 318 D.7.

4.1.10 Requirements for Minimum Member Thickness, Minimum Anchor Spacing and Minimum Edge Distance: In lieu of ACI 318 D.8.1 and D.8.3, values of smin and cmin as given in Tables 3 and 4 of this report must be used. In lieu of ACI 318 D.8.5, minimum member thicknesses hmin as given in Tables 3 and 4 of this report must be used. Additional combinations for minimum edge distance, cmin, and spacing, smin, may be derived by linear interpolation between the given boundary values as described in Figure 4.

For carbon steel KB-TZ anchors installed on the top of normal-weight or sand-lightweight concrete over profile steel deck floor and roof assemblies, the anchor must be installed in accordance with Table 6 and Figure 5D.

For carbon steel KB-TZ anchors installed in the soffit of sand-lightweight or normal-weight concrete over profile steel deck floor and roof assemblies, the anchors must be installed in accordance with Figure 5A, 5B and 5C and shall have an axial spacing along the flute equal to the greater of 3hef or 1.5 times the flute width.

4.1.11 Requirements for Critical Edge Distance: In applications where c < cac and supplemental reinforcement to control splitting of the concrete is not present, the concrete breakout strength in tension for uncracked concrete, calculated in accordance with ACI 318 D.5.2, must be further multiplied by the factor Ψcp,N as given by Eq-1:

, (Eq-3)

whereby the factor Ψcp,N need not be taken as less

than ac

ef

ch1.5 . For all other cases, Ψcp,N = 1.0. In lieu of

using ACI 318 D.8.6, values of cac must comply with Table 3 or Table 4 and values of cac,deck must comply with Table 6.

4.1.12 Sand-lightweight Concrete: For ACI 318-11 and 318-08, when anchors are used in sand-lightweight concrete, the modification factor λa or λ, respectively, for concrete breakout strength must be taken as 0.6 in lieu of ACI 318-11 D.3.6 (2012 IBC) or ACI 318-08 D.3.4 (2009 IBC). In addition the pullout strength Np,cr, Np,uncr and Np,eq

must be multiplied by 0.6, as applicable.

For ACI 318-05, the values Nb, Np,cr, Np,uncr, Np,eq and Vb

determined in accordance with this report must be multiplied by 0.6, in lieu of ACI 318 D.3.4.

For carbon steel KB-TZ anchors installed in the soffit of sand-lightweight concrete-filled steel deck and floor and roof assemblies, this reduction is not required. Values are presented in Table 5 and installation details are show in Figures 5A, 5B and 5C.

4.2 Allowable Stress Design (ASD):

4.2.1 General: Design values for use with allowable stress design (working stress design) load combinations calculated in accordance with Section 1605.3 of the IBC, must be established as follows:

Tallowable,ASD = nN

Vallowable,ASD = nV

where:

Tallowable,ASD = Allowable tension load (lbf or kN).

Vallowable,ASD = Allowable shear load (lbf or kN).

Nn = Lowest design strength of an anchor or anchor group in tension as determined in accordance with ACI 318 D.4.1, and 2009 IBC Section 1908.1.9 or 2006 IBC Section 1908.1.16, as applicable (lbf or N).

Vn = Lowest design strength of an anchor or anchor group in shear as determined in accordance with ACI 318 D.4.1, and 2009 IBC Section 1908.1.9 or 2006 IBC Section 1908.1.16, as applicable (lbf or N).

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α = Conversion factor calculated as a weighted average of the load factors for the controlling load combination. In addition, α must include all applicable factors to account for nonductile failure modes and required over-strength.

The requirements for member thickness, edge distance and spacing, described in this report, must apply. An example of allowable stress design values for illustrative purposes in shown in Table 7.

4.2.2 Interaction of Tensile and Shear Forces: The interaction must be calculated and consistent with ACI 318 D.7 as follows:

For shear loads Vapplied ≤ 0.2Vallowable,ASD, the full allowable load in tension must be permitted.

For tension loads Tapplied ≤ 0.2Tallowable,ASD, the full allowable load in shear must be permitted.

For all other cases:

, + , ≤1.2 (Eq-4)

4.3 Installation:

Installation parameters are provided in Tables 1 and 6 and Figures 2, 5A, 5B, 5C and 5D. Anchor locations must comply with this report and plans and specifications approved by the code official. The Hilti KB-TZ must be installed in accordance with manufacturer’s published instructions and this report. In case of conflict, this report governs. Anchors must be installed in holes drilled into the concrete using carbide-tipped masonry drill bits complying with ANSI B212.15-1994. The minimum drilled hole depth is given in Table 1. Prior to installation, dust and debris must be removed from the drilled hole to enable installation to the stated embedment depth. The anchor must be hammered into the predrilled hole until hnom is achieved. The nut must be tightened against the washer until the torque values specified in Table 1 are achieved. For installation in the soffit of concrete on steel deck assemblies, the hole diameter in the steel deck not exceed the diameter of the hole in the concrete by more than 1/8 inch (3.2 mm). For member thickness and edge distance restrictions for installations into the soffit of concrete on steel deck assemblies, see Figures 5A, 5B and 5C.

4.4 Special Inspection:

Periodic special inspection is required in accordance with Section 1705.1.1 and Table 1705.3 of the 2012 IBC, or Section 1704.15 of the 2009 IBC and Table 1704.4 or Section 1704.13 of the 2006 IBC, as applicable. The special inspector must make periodic inspections during anchor installation to verify anchor type, anchor dimensions, concrete type, concrete compressive strength, anchor spacing, edge distances, concrete member thickness, tightening torque, hole dimensions, anchor embedment and adherence to the manufacturer’s printed installation instructions. The special inspector must be present as often as required in accordance with the “statement of special inspection.” Under the IBC, additional requirements as set forth in Sections 1705, 1706 and 1707 must be observed, where applicable.

5.0 CONDITIONS OF USE

The Hilti KB-TZ anchors described in this report comply with the codes listed in Section 1.0 of this report, subject to the following conditions:

5.1 Anchor sizes, dimensions, minimum embedment depths and other installation parameters are as set forth in this report.

5.2 The anchors must be installed in accordance with the manufacturer’s published instructions and this report. In case of conflict, this report governs.

5.3 Anchors must be limited to use in cracked and uncracked normal-weight concrete and sand-lightweight concrete having a specified compressive strength, f'c, of 2,500 psi to 8,500 psi (17.2 MPa to 58.6 MPa) [minimum of 24 MPa is required under ADIBC Appendix L, Section 5.1.1], and cracked and uncracked normal-weight or sand-lightweight concrete over metal deck having a minimum specified compressive strength, fc, of 3,000 psi (20.7 MPa) [minimum of 24 MPa is required under ADIBC Appendix L, Section 5.1.1].

5.4 The values of f'c used for calculation purposes must not exceed 8,000 psi (55.1 MPa).

5.5 Strength design values must be established in accordance with Section 4.1 of this report.

5.6 Allowable design values are established in accordance with Section 4.2.

5.7 Anchor spacing and edge distance as well as minimum member thickness must comply with Tables 3, 4, and 6, and Figures 4, 5A, 5B, 5C and 5D.

5.8 Prior to installation, calculations and details demonstrating compliance with this report must be submitted to the code official. The calculations and details must be prepared by a registered design professional where required by the statutes of the jurisdiction in which the project is to be constructed.

5.9 Since an ICC-ES acceptance criteria for evaluating data to determine the performance of expansion anchors subjected to fatigue or shock loading is unavailable at this time, the use of these anchors under such conditions is beyond the scope of this report.

5.10 Anchors may be installed in regions of concrete where cracking has occurred or where analysis indicates cracking may occur (ft > fr), subject to the conditions of this report.

5.11 Anchors may be used to resist short-term loading due to wind or seismic forces in locations designated as Seismic Design Categories A through F of the IBC, subject to the conditions of this report.

5.12 Where not otherwise prohibited in the code, KB-TZ anchors are permitted for use with fire-resistance-rated construction provided that at least one of the following conditions is fulfilled:

Anchors are used to resist wind or seismic forces only.

Anchors that support a fire-resistance-rated envelope or a fire- resistance-rated membrane are protected by approved fire-resistance- rated materials, or have been evaluated for resistance to fire exposure in accordance with recognized standards.

Anchors are used to support nonstructural elements.

5.13 Use of zinc-coated carbon steel anchors is limited to dry, interior locations.

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5.14 Use of anchors made of stainless steel as specified in this report are permitted for exterior exposure and damp environments.

5.15 Use of anchors made of stainless steel as specified in this report are permitted for contact with preservative-treated and fire-retardant-treated wood.

5.16 Anchors are manufactured by Hilti AG under an approved quality-control program with inspections by ICC-ES.

6.0 EVIDENCE SUBMITTED

6.1 Data in accordance with the ICC-ES Acceptance Criteria for Mechanical Anchors in Concrete Elements (AC193), dated March 2012 (ACI 355.2-07).

6.2 Quality-control documentation.

7.0 IDENTIFICATION

The anchors are identified by packaging labeled with the manufacturer’s name (Hilti, Inc.) and contact information, anchor name, anchor size, and evaluation report number (ESR-1917). The anchors have the letters KB-TZ embossed on the anchor stud and four notches embossed into the anchor head, and these are visible after installation for verification.

TABLE 1—SETTING INFORMATION (CARBON STEEL AND STAINLESS STEEL ANCHORS)

SETTING INFORMATION Symbol Units

Nominal anchor diameter (in.) 3/8

1/2 5/8

3/4

Anchor O.D. da

(do)2

In. 0.375 0.5 0.625 0.75

(mm) (9.5) (12.7) (15.9) (19.1)

Nominal bit diameter dbit In. 3/8

1/2 5/8

3/4

Effective min. embedment hef

In. 2 2 31/4 31/8 4 33/4 43/4

(mm) (51) (51) (83) (79) (102) (95) (121)

Nominal embedment hnom

in. 25/16 23/8 35/8 39/16 47/16 45/16 59/16

(mm) (59) (60) (91) (91) (113) (110) (142)

Min. hole depth ho In. 25/8 25/8 4 33/4 43/4 41/2 53/4

(mm) (67) (67) (102) (95) (121) (114) (146)

Min. thickness of fastened part1 tmin

In. 1/4 3/4

1/4 3/8

3/4 1/8 15/8

(mm) (6) (19) (6) (9) (19) (3) (41)

Required Installation torque

Tinst ft-lb 25 40 60 110

(Nm) (34) (54) (81) (149)

Min. dia. of hole in fastened part dh

In. 7/16 9/16

11/16 13/16

(mm) (11.1) (14.3) (17.5) (20.6)

Standard anchor lengths

ℓanch

In. 3 33/4 5 33/4 41/2 51/2 7 43/4 6 81/2 10 51/2 8 10

(mm) (76) (95) (127) (95) (114) (140) (178) (121) (152) (216) (254) (140) (203) (254)

Threaded length (incl. dog point)

ℓthread In. 7/8 15/8 27/8 15/8 23/8 33/8 47/8 11/2 23/4 51/4 63/4 11/2 4 6

(mm) (22) (41) (73) (41) (60) (86) (124) (38) (70) (133) (171) (38) (102) (152)

Unthreaded length

ℓunthr In. 21/8 21/8 31/4 4

(mm) (54) (54) (83) (102)

1The minimum thickness of the fastened part is based on use of the anchor at minimum embedment and is controlled by the length of thread. If a thinner fastening thickness is required, increase the anchor embedment to suit. 2The notation in parenthesis is for the 2006 IBC.

3-7/8 4-5/8**

**Revised by the City of Los Angeles

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E

Lo

Laℓa

(

ESR-1917 | M

Length ID markion bolt head

Length of anchor, ℓanch inches)

From

Up to not includ

FIG

expaelem

mandrel

Most Widely Acc

TABLE 2—LEN

ng A B

1 ½ 2

but

ing 2 2 ½

GURE 3—BOLT

nsion ent

ℓanch

cepted and Tru

FIGURE 1

GTH IDENTIFIC

C D E

2 ½ 3 3 ½

3 3 ½ 4

HEAD WITH LE

collar

ℓthread

ℓunthr

usted

1—HILTI CARB O

FIGURE 2—

CATION SYSTEM

F G H

4 4 ½ 5

4 ½ 5 5 ½

ENGTH IDENTIF

bolt

dh

ON STEEL KWI

—KB-TZ INSTA

M (CARBON STE

I J K

5 ½ 6 6 ½

6 6 ½ 7

FICATION CODE

UNC t

da

K BOLT TZ (K B

ALLED

EEL AND STAIN

L M N

7 7 ½ 8

7 ½ 8 8 ½

E AND KB-TZ H

washer

thread

t

B-TZ)

NLESS STEEL A

O P Q

8 ½ 9 9 ½

9 9 ½ 10

EAD NOTCH EM

hef hnom

Pa

ANCHORS)

R S T

10 11 12

11 12 13

MBOSSMENT

hex nut

dog p

ho

age 6 of 13

U V W

13 14 15

14 15 16

point

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TABLE 3—DESIGN INFORMATION, CARBON STEEL KB-TZ

DESIGN INFORMATION Symbol Units Nominal anchor diameter

3/8 1/2

5/8 3/4

Anchor O.D. da(do) in. 0.375 0.5 0.625 0.75

(mm) (9.5) (12.7) (15.9) (19.1)

Effective min. embedment1 hef in. 2 2 31/4 31/8 4 33/4 43/4

(mm) (51) (51) (83) (79) (102) (95) (121)

Min. member thickness2 hmin in. 4 5 4 6 6 8 5 6 8 6 8 8

(mm) (102) (127) (102) (152) (152) (203) (127) (152) (203) (152) (203) (203)

Critical edge distance cac in. 43/8 4 51/2 41/2 71/2 6 61/2 83/4 63/4 10 8 9

(mm) (111) (102) (140) (114) (191) (152) (165) (222) (171) (254) (203) (229)

Min. edge distance

cmin In. 21/2 23/4 23/8 35/8 31/4 43/4 41/8

(mm) (64) (70) (60) (92) (83) (121) (105)

for s ≥ in. 5 53/4 53/4 61/8 57/8 101/2 87/8

(mm) (127) (146) (146) (156) (149) (267) (225)

Min. anchor spacing

smin in. 21/2 23/4 23/8 31/2 3 5 4

(mm) (64) (70) (60) (89) (76) (127) (102)

for c ≥ In. 35/8 41/8 31/2 43/4 41/4 91/2 73/4

(mm) (92) (105) (89) (121) (108) (241) (197)

Min. hole depth in concrete ho in. 25/8 25/8 4 33/4 43/4 41/2 53/4

(mm) (67) (67) (102) (98) (121) (117) (146)

Min. specified yield strength fy lb/in2 100,000 84,800 84,800 84,800

(N/mm2) (690) (585) (585) (585)

Min. specified ult. strength futa lb/in2 125,000 106,000 106,000 106,000

(N/mm2) (862) (731) (731) (731)

Effective tensile stress area Ase,N In2 0.052 0.101 0.162 0.237

(mm2) (33.6) (65.0) (104.6) (152.8)

Steel strength in tension Nsa lb 6,500 10,705 17,170 25,120

(kN) (28.9) (47.6) (76.4) (111.8)

Steel strength in shear Vsa lb 3,595 5,495 8,090 13,675

(kN) (16.0) (24.4) (36.0) (60.8)

Steel strength in shear, seismic3 Vsa,eq lb 2,255 5,495 7,600 11,745

(kN) (10.0) (24.4) (33.8) (52.2)

Pullout strength uncracked concrete4 Np,uncr

lb 2,515 NA

5,515 NA

9,145 8,280 10,680

(kN) (11.2) (24.5) (40.7) (36.8) (47.5)

Pullout strength cracked concrete4 Np,cr lb 2,270

NA 4,915

NA NA NA NA (kN) (10.1) (21.9)

Anchor category5 1

Effectiveness factor kuncr uncracked concrete 24

Effectiveness factor kcr cracked concrete6 17

Ψc,N= kuncr/kcr 7 1.0

Coefficient for pryout strength, kcp 1.0 2.0

Strength reduction factor for tension, steel failure modes8

0.75

Strength reduction factor for shear, steel failure modes8 0.65

Strength reduction factor for tension, concrete failure modes or pullout, Condition B9

0.65

Strength reduction factor for shear, concrete failure modes, Condition B9

0.70

Axial stiffness in service load range10

uncr lb/in. 700,000

cr lb/in. 500,000

For SI: 1 inch = 25.4 mm, 1 lbf = 4.45 N, 1 psi = 0.006895 MPa. For pound-inch units: 1 mm = 0.03937 inches. 1See Fig. 2. 2For sand-lightweight or normal-weight concrete over metal deck, see Figures 5A, 5B, 5C and 5D and Tables 5 and 6. 3See Section 4.1.8 of this report. 4For all design cases Ψc,P =1.0. NA (not applicable) denotes that this value does not control for design. See Section 4.1.4 of this report. 5See ACI 318-11 D.4.3. 6See ACI 318 D.5.2.2. 7For all design cases Ψc,N =1.0. The appropriate effectiveness factor for cracked concrete (kcr) or uncracked concrete (kuncr) must be used. 8The KB-TZ is a ductile steel element as defined by ACI 318 D.1. 9For use with the load combinations of ACI 318 Section 9.2. Condition B applies where supplementary reinforcement in conformance with ACI 318-11 D.4.3 is not provided, or where pullout or pryout strength governs. For cases where the presence of supplementary reinforcement can be verified, the strength reduction factors associated with Condition A may be used. 10Mean values shown, actual stiffness may vary considerably depending on concrete strength, loading and geometry of application.

**Revised by the City of Los Angeles

** 3-7/84-5/8

Page 11: Kwik Bolt TZ Expansion Anchor - City of Los Angeles Approval€¦ · and 2006 IBC. The anchors may also be used where an engineered design is submitted in accordance with Section

ESR-1917 | Most Widely Accepted and Trusted Page 8 of 13

TABLE 4—DESIGN INFORMATION, STAINLESS STEEL KB-TZ

DESIGN INFORMATION Symbol Units Nominal anchor diameter

3/8 1/2

5/8 3/4

Anchor O.D. da(do) in. 0.375 0.5 0.625 0.75

(mm) (9.5) (12.7) (15.9) (19.1)

Effective min. embedment1 hef in. 2 2 31/4 31/8 4 33/4 43/4

(mm) (51) (51) (83) (79) (102) (95) (121)

Min. member thickness hmin in. 4 5 4 6 6 8 5 6 8 6 8 8

(mm) (102) (127) (102) (152) (152) (203) (127) (152) (203) (152) (203) (203)

Critical edge distance cac in. 43/8 37/8 51/2 41/2 71/2 6 7 87/8 6 10 7 9

(mm) (111) (98) (140) (114) (191) (152) (178) (225) (152) (254) (178) (229)

Min. edge distance

cmin in. 21/2 27/8 21/8 31/4 2-3/8 41/4 4

(mm) (64) (73) (54) (83) (60) (108) (102)

for s ≥ in. 5 53/4 51/4 51/2 51/2 10 81/2

(mm) (127) (146) (133) (140) (140) (254) (216)

Min. anchor spacing

smin in. 21/4 27/8 2 23/4 23/8 5 4

(mm) (57) (73) (51) (70) (60) (127) (102)

for c ≥ in. 31/2 41/2 31/4 41/8 41/4 91/2 7

(mm) (89) (114) (83) (105) (108) (241) (178)

Min. hole depth in concrete ho in. 25/8 25/8 4 33/4 43/4 41/2 53/4

(mm) (67) (67) (102) (98) (121) (117) (146)

Min. specified yield strength fy lb/in2 92,000 92,000 92,000 76,125

(N/mm2) (634) (634) (634) (525)

Min. specified ult. Strength futa lb/in2 115,000 115,000 115,000 101,500

(N/mm2) (793) (793) (793) (700)

Effective tensile stress area Ase,N in2 0.052 0.101 0.162 0.237

(mm2) (33.6) (65.0) (104.6) (152.8)

Steel strength in tension Nsa lb 5,968 11,554 17,880 24,055

(kN) (26.6) (51.7) (82.9) (107.0)

Steel strength in shear Vsa lb 4,720 6,880 9,870 15,711

(kN) (21.0) (30.6) (43.9) (69.9)

Pullout strength in tension, seismic2 Np,eq

lb NA

2,735 NA NA NA

(kN) (12.2)

Steel strength in shear, seismic2 Vsa,eq lb 2,825 6,880 9,350 12,890

(kN) (12.6) (30.6) (41.6) (57.3)

Pullout strength uncracked concrete3 Np,uncr

lb 2,630 NA

5,760 NA NA

12,040

(kN) (11.7) (25.6) (53.6)

Pullout strength cracked concrete3 Np,cr

lb 2,340 3,180 NA NA

5,840 8,110 NA

(kN) (10.4) (14.1) (26.0) (36.1)

Anchor category4 1 2 1

Effectiveness factor kuncr uncracked concrete 24

Effectiveness factor kcr cracked concrete5 17 24 17 17 17 24 17

ΨC,N = kuncr/kcr 6 1.0

Strength reduction factor for tension, steel failure modes7

0.75

Strength reduction factor for shear, steel failure modes7 0.65

Strength reduction factor for tension, concrete failure modes, Condition B8

0.65 0.55 0.65

Coefficient for pryout strength, kcp 1.0 2.0

Strength reduction factor for shear, concrete failure modes, Condition B8

0.70

Axial stiffness in service load range9

uncr lb/in. 120,000

cr lb/in. 90,000

For SI: 1 inch = 25.4 mm, 1 lbf = 4.45 N, 1 psi = 0.006895 MPa For pound-inch units: 1 mm = 0.03937 inches. 1See Fig. 2. 2See Section 4.1.8 of this report. NA (not applicable) denotes that this value does not control for design. 3For all design cases Ψc,P =1.0. NA (not applicable) denotes that this value does not control for design. See Section 4.1.4 of this report. 4See ACI 318-11 D.4.3. 5See ACI 318 D.5.2.2. 6For all design cases Ψc,N =1.0. The appropriate effectiveness factor for cracked concrete (kcr) or uncracked concrete (kuncr) must be used. 7The KB-TZ is a ductile steel element as defined by ACI 318 D.1. 8For use with the load combinations of ACI 318 Section 9.2. Condition B applies where supplementary reinforcement in conformance with ACI 318-11 D.4.3 is not provided, or where pullout or pryout strength governs. For cases where the presence of supplementary reinforcement can be verified, the strength reduction factors associated with Condition A may be used. 9Mean values shown, actual stiffness may vary considerably depending on concrete strength, loading and geometry of application.

Page 12: Kwik Bolt TZ Expansion Anchor - City of Los Angeles Approval€¦ · and 2006 IBC. The anchors may also be used where an engineered design is submitted in accordance with Section

ESR-1917 | Most Widely Accepted and Trusted Page 9 of 13

FIGURE 4—INTERPOLATION OF MINIMUM EDGE DISTANCE AND ANCHOR SPACING

TABLE 5 —HILTI KWIK BOLT TZ (KB-TZ) CARBON STEEL ANCHORS TENSION AND SHEAR DESIGN DATA FOR INSTALLATION IN THE SOFFIT OF CONCRETE-FILLED PROFILE STEEL DECK ASSEMBLIES 1,6,7,8

DESIGN INFORMATION Symbol Units Anchor Diameter

3/8 1/2 5/8 3/4

Effective Embedment Depth hef in. 2 2 31/4 31/8 4 33/4

Minimum Hole Depth ho in. 25/8 25/8 4 33/4 43/4 41/2

Loads According to Figure 5A Pullout Resistance, uncracked concrete 5 Np,deck,uncr lb 2,060 2,060 3,695 2,825 6,555 4,255

Pullout Resistance, cracked concrete 6 Np,deck,cr lb 1,460 1,460 2,620 2,000 4,645 3,170

Steel Strength in Shear 7 Vsa,deck lb 2,130 3,000 4,945 4,600 6,040 6,190

Steel Strength in Shear, Seismic 8 Vsa,deck,eq lb 1,340 3,000 4,945 4,320 5,675 5,315

Loads According to Figure 5B Pullout Resistance, uncracked concrete 5

Np,deck,uncr lb 2,010 2,010 3,695 2,825 5,210 4,255

Pullout Resistance, cracked concrete 6 Np,deck,cr lb 1,425 1,425 2,620 2,000 3,875 3170

Steel Strength in Shear 7 Vsa,deck lb 2,060 2,060 4,065 4,600 5,615 6,190

Steel Strength in Shear, Seismic 8 Vsa,deck,eq lb 1,340 1,460 4,065 4,320 5,275 5,315

Loads According to Figure 5C Pullout Resistance, uncracked concrete 5 Np,deck,uncr lb 1,845 1,865 3,375 4,065

Pullout Resistance, cracked concrete 6 Np,deck,cr lb 1,660 1,325 3,005 2,885 Steel Strength in Shear 7 Vsa,deck lb 2,845 2,585 3,945 4,705 Steel Strength in Shear, Seismic 8 Vsa,deck,eq lb 1,790 2,585 3,945 4,420

1 Installations must comply with Sections 4.1.10 and 4.3 and Figures 5A, 5B and 5C of this report. 2 The values for ɸp in tension and ɸsa in shear can be found in Table 3 of this report. 3 The characteristic pullout resistance for concrete compressive strengths greater than 3,000 psi may be increased by multiplying the value in the table by (f ' c / 3000)1/2 for psi or (f 'c / 20.7)1/2 for MPa [minimum of 24 MPa is required under ADIBC Appendix L, Section 5.1.1]. 4 Evaluation of concrete breakout capacity in accordance with ACI 318 D.5.2, D.6.2, and D.6.3 is not required for anchors installed in the deck soffit. 5 The values listed must be used in accordance with Section 4.1.4 of this report. 6 The values listed must be used in accordance with Sections 4.1.4 and 4.1.8.2 of this report. 7 The values listed must be used in accordance with Section 4.1.5 of this report. 8 The values listed must be used in accordance with Section 4.1.8.3 of this report. Values are applicable to both static and seismic load combinations.

sdesign cdesign

h ≥ hmin

edge distance c

spac

ing

s

cdesign

sdesign

cmin at s ≥

smin at c ≥

hmin

edge distance c

spac

ing

s

cdesign

sdesign

cmin at s ≥

smin at c ≥

hmin

Page 13: Kwik Bolt TZ Expansion Anchor - City of Los Angeles Approval€¦ · and 2006 IBC. The anchors may also be used where an engineered design is submitted in accordance with Section

E

1Ins2Fo3De4Ap5Mi

ESR-1917 | M

TABLE 6 —TH

DESIGN INFO

Effective Embed

Nominal Embed

Minimum Ho

Minimum concre

Critical edge

Minimum edg

Minimum s

Required Installa

stallation must coor all other anchoesign capacity shpplicable for 31/4-inimum concrete

FIGURE

1Anchors

FIGURE

1 Ancsatisfied.

Most Widely Acc

—HILTI KWIK B OHE TOP OF CON

ORMATION

dment Depth

dment Depth

ole Depth

ete thickness5

e distance

e distance

spacing

ation Torque

omply with Sectior diameters andhall be based on -in ≤ hmin,deck < 4-ie thickness refers

E 5A—INSTALL A

may be placed i

E 5B—INSTALL A

hors may be pla

cepted and Tru

OLT TZ (KB-TZ )NCRETE-FILLED

Symbol U

hef

hnom

h0

hmin,deck

cac,deck,top

cmin,deck,top

smin,deck,top

Tinst

ons 4.1.10 and 4 embedment depcalculations acc

in. For hmin,deck ≥ s to concrete thic

ATION IN THE S

n the upper or lo

ATION IN THE S

aced in the uppe

usted

) CARBON STEED PROFILE STE

Units

in.

in.

in.

in.

in.

in.

in.

ft-lb

4.3 and Figure 5Dpths refer to Tabcording to values4-inch use settin

ckness above up

SOFFIT OF CON

ower flute of the s

SOFFIT OF CON

er or lower flute

EL ANCHORS SEL DECK ASS E

3/8

2

25/16

25/8

31/4

41/2

3

4

25

D of this report.le 3 and 4 for ap in Table 3 and 4

ng information in per flute. See Fig

NCRETE OVER M

steel deck profile

NCRETE OVER M

of the steel dec

SETTING INFOREMBLIES ACCO

Nominal a

pplicable values o4 of this report. Table 3 of this re

gure 5D.

METAL DECK F

e provided the mi

METAL DECK F

ck profile provide

RMATION FOR IORDING TO FIGU

nchor diamete r

of hmin, cmin, and s

eport.

FLOOR AND RO

inimum hole clea

FLOOR AND RO

ed the minimum

Pag

NSTALLATION URE 5D1,2,3,4

r 1/2

2

23/8

25/8

31/4

6

41/2

61/2

40

smin.

OOF ASSEMBLI E

arance is satisfie

OOF ASSEMBLI E

hole clearance

ge 10 of 13

ON

ES1

ed.

ES1

is

Page 14: Kwik Bolt TZ Expansion Anchor - City of Los Angeles Approval€¦ · and 2006 IBC. The anchors may also be used where an engineered design is submitted in accordance with Section

E

F1S2

3

435

6f7c8

9V

ESR-1917 | M

Nominal An cdiameter (i

3/8

1/2

5/8

3/4

For SI: 1 lbf = 4.4

Single anchors wConcrete determiLoad combination30% dead load anCalculation of thef 'c = 2,500 psi (noca1 = ca2 ≥ cac h ≥ hmin Values are for Co

FIGURE 5C—1Anchors may bthe lower flute mincreased propoalso satisfied. 2Anchors may bflute is minimum

FIGURE1Refer to2Applica

Most Widely Acc

TABLE 7— E

chor n.) Em

45 N, 1 psi = 0.00

ith static tension lned to remain unc

ns from ACI 318 Snd 70% live load,

e weighted averagormal weight conc

ondition B where s

—INSTALLATIO Nbe placed in the umay be installed wortionally for profil

e placed in the upm 31/4-inch and the

E 5D—INSTALLo Table 6 for settinble for 31/4-in ≤ hm

cepted and Tru

EXAMPLE ALL O

mbedment dep t

2

2

31/4

31/8

4

33/4

43/4

0689 MPa 1 psi =

oad only. cracked for the life

Section 9.2 (no secontrolling load ce for α = 0.3*1.2 +

crete).

supplementary rei

N IN THE SOFFITpper or lower flut

with a maximum 1

les with lower flut

pper flute of the ste minimum hole cl

LATION ON THEng information for min < 4-in. For hmin

usted

OWABLE STRE S

th (in.)

= 0.00689 MPa.

e of the anchoragismic loading). ombination 1.2D ++ 0.7*1.6 = 1.48.

nforcement in acc

T OF CONCRETe of the steel dec/8-inch offset in ete widths greater

teel deck profiles iearance of 5/8-inc

TOP OF CONCanchors in to the ≥ 4-inch use setti

SS DESIGN VAL

Carbo

Carbo

1,

1,4

2,4

2,9

4,0

3,6

4,6

1 inch = 25.4 mm

e.

+ 1.6 L.

cordance with AC

TE OVER METALck profile providedeither direction fro

than those show

in accordance with is satisfied.

CRETE OVER MEtop of concrete o

ing information in

LUES FOR ILLU

Allowa b

on Steel

f' c

on Steel

105

490

420

910

015

635

690

m.

I 318-11 D.4.3 is

L DECK FLOO Rd the minimum hoom the center of twn provided the m

th Figure 5B provi

ETAL DECK FLover metal deck.

Table 3 of this re

STRATIVE PUR

ble tension (lbf )

= 2,500 psi

not provided

R AND ROOF ASole clearance is sthe flute. The offs

minimum lower flu

ided the concrete

OOR AND ROO

eport.

Pag

RPOSES

)

Stainless Stee

Stainless Stee

1,155

1,260

2,530

2,910

4,215

3,825

5,290

SSEMBLIES – Bsatisfied. Anchors set distance may bte edge distance

thickness above

OF ASSEMBLIE S

ge 11 of 13

l

l

B DECK1,2

in be is

the upper

S1,2

Page 15: Kwik Bolt TZ Expansion Anchor - City of Los Angeles Approval€¦ · and 2006 IBC. The anchors may also be used where an engineered design is submitted in accordance with Section

E

ESR-1917 | MMost Widely Acccepted and Tru

FI

usted

IGURE 6—INST

ALLATION INS TTRUCTIONS

Pag

ge 12 of 13

Page 16: Kwik Bolt TZ Expansion Anchor - City of Los Angeles Approval€¦ · and 2006 IBC. The anchors may also be used where an engineered design is submitted in accordance with Section

E

GiveTwo

hef =

No sD.4.3Assu Needallow

Calc

Step

Step

cbN

Step

hmin =

For

mins

Step

Step

Step

Step

Step

Step

Step

Step

Step

Step

Step

ESR-1917 | M

en: 1/2-inch carbon sload as shown. 3.25 in. Normal weight c

supplementary re3 c) ume cracked con

ded: Using Allowwable tension loa

culation per ACI 3

p 1. Calculate ste

Check whether

p 2. Calculate con

Nec,Nco

Ncbg A

A

p 2a. Verify minim

= 6 in. ≤ 6 in.

= 4inminc

= 5.75 - (2.37n

p 2b. For AN chec

p 2c. Calculate AN

.p 2d. Determine

p 2e. Calculate N

p 2f. Calculate mo

p 2g. Calculate m

p 2h. Calculate m

p 2i. Calculate N

p 3. Check pullou

p 4. Controlling st

p 5. To convert to

Most Widely Acc

steel KB-TZ anch

concrete, f'c = 3,0einforcement (Co

ncrete since no o

wable Stress Desad for this configu

318-11 Appendix

eel capacity: s

Nfuta is not greater

ncrete breakout s

cpNcNedN ,,,

mum member thic

ok

2.3slope =

3.

5 - 4.0)(-3.0) =

ck ef

1.5h =1.5(3

Nco and ANc for th. . . .

Nec, : 0' Ne

Nb:

odification factor

modification facto

modification facto

Ncbg : Ncbg =0.65

ut strength: Table

trength: Ncbg =

o ASD, assume U

cepted and Tru

hors under static

000 psi ondition B per AC

other information

sign (ASD) calcuuration.

x D and this repo

= = 0.s se ut

N nA fr than 1.9fya and

strength of ancho

bN N

ckness, spacing

375 - 5.75= -3.0

5 - 2.375

0.875 < 2.375i

.25) = 4.88 in > c

he anchorage:

.0.1, Nec . .

r for edge distanc

r for cracked con

r for splitting: c

5 .. 1.00

e 3, nNpn,f′c = 0.6

4,952 lb < nNpn

U = 1.2D + 1.6L:

usted

c tension

CI 318-11

is available.

late the

ort.

75 2×0.101×

125,000 psi.

or in tension:

and edge distan

0

n < 6in ok

ef3.0h = 3(3.c

.√ , . .

ce: 7.0, Ned

ncrete: Nc, =1.0

Ncp,=1.00 (cracke

0.95 1.00 x 5

65 2 5,515 lb

< Ns Ncbg co

Tallow = ,. = 3

FIGURE 7—EX

×106,000 = 16,0

nce:

.25) = 9.75 in > s

. .,

9.0)25.3(5.1

43.0

00 (cracked conc

ed concrete)

5,456 = 4,952 lb

b x ,, = 7,852

ontrols

3,346 lb.

XAMPLE CALC U

2.375 controls

smin

0.875

059lb

s

95

crete)

2 lb >4,952 O

ULATION

2.375, 5.7

3.5

4

K

5

5, 2.375

cmin

Pag

Code Ref.

D.5.1.2 D.4.3 a

D.5.2.1

D.8

D.5.2.1

D.5.2.1

D.5.2.4

D.5.2.2

D.5.2.5

D.5.2.6

-

D.5.2.1 D.4.3 c)

D.5.3.2 D.4.3 c)

D.4.1.2

-

ge 13 of 13

Report Ref.

§4.1.2 Table 3

§ 4.1.3

Table 3 Fig. 4

Table 3

Table 3

-

Table 3

Table 3

Table 3

§ 4.1.10

Table 3

§ 4.1.3 Table 3

§ 4.1.4

Table 3

Table 3

§ 4.2